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Simplifying -2 + 5(1 + 2x) = -11 + 8x -2 + (1 * 5 + 2x * 5) = -11 + 8x -2 + (5 + 10x) = -11 + 8x Combine like terms: -2 + 5 = 3 3 + 10x = -11 + 8x Solving 3 + 10x = -11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + 10x + -8x = -11 + 8x + -8x Combine like terms: 10x + -8x = 2x 3 + 2x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + 2x = -11 + 0 3 + 2x = -11 Add '-3' to each side of the equation. 3 + -3 + 2x = -11 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = -11 + -3 2x = -11 + -3 Combine like terms: -11 + -3 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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